Question

A weather forecaster states that the probability of rain is 3/5, the probability of lightning is 2/5, and the probability of both is 1/5. What is the probability of a sporting event being cancelled due to rain or lightning?

Answer 1

Answer:

Given

Possibility of rain = 3/5 [P(R)]

Possibility of lightning = 2/5 [P(L)]

Possibility of both rain and lighting = 1/5 [P(R U L)] [ It is R union L]

To find

Possibility of a sporting event being cancelled due to rain or lightning or we can simply right as Possibility of rain or lightning [P(R ∩ L)]

Solution

Through Given,

we get to know that

P(R) = 3/5

P(L) = 2/5

P(R U L) = 1/5

We can calculate P(R ∩ L) using the formula

P(R U L) = P(R) + P(L) - P(R ∩ L)

1/5 = 3/5 +2/5 - P(R ∩ L)

P(R ∩ L) = 5/5-1/5

P(R ∩ L) = 4/5

Possibility of rain or lightning = 4/5

Therefore, the possibility of a sporting event being cancelled due to rain or lightning is 4/5.

Hope it helps you.

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